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Finding the Fourth Proportional to 821.18, 1,229.45 and 546.73

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Solution

The fourth proportional to 821.18, 1,229.45 and 546.73 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.18 : 1,229.45 = 546.73 : x
  2. Step 2: Convert to fraction form
    821.18/1,229.45 = 546.73/x
  3. Step 3: Cross multiply
    821.18x = 1,229.45 × 546.73
  4. Step 4: Simplify right side
    821.18x = 672,171.39
  5. Step 5: Solve for x
    x = 672,171.39/821.18
  6. Step 6: Final answer
    x = 818.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.